A process is described for carrying out olefin oligomerisation in two
catalysis steps of different types, using an organic feed containing at
least one olefin. The cut to be treated, containing at least one olefin
(C.sub.n), is introduced into a first reaction zone where, in a first
step, it undergoes catalytic oligomerisation either of the homogeneous
liquid phase type, or of the heterogeneous type with a solid support. The
effluent produced is generally sent to a heat exchanger traversed by a
cold liquid, the effluent thus being cooled before being sent to a second
reaction zone where it undergoes catalytic oligomerisation in a
liquid--liquid two-phase medium, the invention being characterized in that
at least an ethylenic hydrocarbon containing 3 to 5 carbon atoms per
molecule is added to the inlet to the second reaction zone.